Representations of Yang-Mills algebras
Résumé
The aim of this article is to describe families of representations of the Yang-Mills algebras YM(n) (n is an element of N->= 2) defined by A. Connes and M. Dubois-Violette. We first describe some irreducible finite dimensional representations. Next, we provide families of infinite dimensional representations of YM, big enough to seperate points of the algebra. In order to prove this result, we prove and use that all Weyl algebras A(r)(k) are epimorphic images of YM(n).